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Related papers: Energy Spectrum of Vortex Tangle

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The density fluctuation spectrum in the solar wind reveals a Kolmogorov-like scaling with a spectral slope of -5/3 in wavenumber space. The energy transfer process in the magnetized solar wind, characterized typically by MHD turbulence,…

Space Physics · Physics 2009-10-20 Dastgeer Shaikh , G. P. Zank

In many simulations of turbulent flows the viscous forces $\nu\nabla^2 {\bf u}$ are replaced by a hyper-viscous term $-\nu_p(-\nabla^2)^{p}{\bf u}$ in order to suppress the effect of viscosity at the large scales. In this work we examine…

Fluid Dynamics · Physics 2020-02-12 Rahul Agrawal , Alexandros Alexakis , Marc E. Brachet , Laurette S. Tuckerman

We investigate the locality of interactions in hydrodynamic turbulence using data from a direct numerical simulation on a grid of 1024^3 points; the flow is forced with the Taylor-Green vortex. An inertial range for the energy is obtained…

Fluid Dynamics · Physics 2009-11-11 A. Alexakis , P. D. Mininni , A. Pouquet

The power spectrum of HI intensity fluctuation of the interstellar medium carries information of the turbulence dynamics therein. We present a method to estimate the power spectrum of HI intensity fluctuation using radio interferometric…

Astrophysics of Galaxies · Physics 2009-05-22 Prasun Dutta , Ayesha Begum , Somnath Bharadwaj , Jayaram N. Chengalur

Experiments and numerical simulations of turbulent $^4$He and $^3$He-B have established that, at hydrodynamic length scales larger than the average distance between quantum vortices, the energy spectrum obeys the same 5/3 Kolmogorov law…

Fluid Dynamics · Physics 2016-10-03 C. F. Barenghi , Y. A. Sergeev , A. W. Baggaley

We present results from particle-in-cell simulations of driven turbulence in magnetized, collisionless, and relativistic pair plasma. We find that fluctuations are consistent with the classical $k_\perp^{-5/3}$ magnetic energy spectrum at…

Plasma Physics · Physics 2017-02-14 Vladimir Zhdankin , Gregory R. Werner , Dmitri A. Uzdensky , Mitchell C. Begelman

We find the turbulent energy spectrum of weakly interacting 2D internal gravity waves using the full, non-hydrostatic dispersion relation. This spectrum is an exact solution of a regularized kinetic equation, from which the zero-frequency…

Fluid Dynamics · Physics 2025-10-14 Michal Shavit , Oliver Bühler , Jalal Shatah

By analyzing hot-wire velocity data taken in an open channel flow, an unambiguous definition of surface-layer thickness is here provided in terms of the cross-over scale between backward and forward energy fluxes. It is shown that the…

Fluid Dynamics · Physics 2016-11-18 Guido Troiani , Francesco Cioffi , Angelo Olivieri , Carlo Massimo Casciola

Two dimensional passive scalar turbulence is studied by means of a k-space diffusion model based on a third order differential approximation. This simple description of local nonlinear interactions in Fourier space is shown to present a…

Fluid Dynamics · Physics 2019-10-08 Pierre Morel , Shaokang Xu , Özgür D. Gürcan

We consider the binormal flow equation, which is a model for the dynamics of vortex filaments in Euler equations. Geometrically it is a flow of curves in three dimensions, explicitly connected to the 1-D Schr\"odinger map with values on the…

Analysis of PDEs · Mathematics 2021-03-24 Valeria Banica , Luis Vega

We simulate the Gross-Pitaevskii equation to model the development of turbulence in a quantum fluid confined by a cuboid box potential, and forced by shaking along one axis. We observe the development of isotropic turbulence from…

Quantum Gases · Physics 2025-02-12 Tommy Z. Fischer , Ashton S. Bradley

We consider the kinematic stage of evolution of magnetic field advected by turbulent hydrodynamic flow. We use a generalization of the Kazantsev-Kraichnan model to investigate time irreversible flows. In the viscous range of scales, the…

Fluid Dynamics · Physics 2023-10-26 A. V. Kopyev , A. S. Il'yn , V. A. Sirota , K. P. Zybin

To explain the observed decay of superfluid turbulence at very low temperature, it has been proposed that a cascade of Kelvin waves (analogous to the classical Kolmogorov cascade) transfers kinetic energy to length scales which are small…

Statistical Mechanics · Physics 2015-05-19 Andrew W. Baggaley , Carlo F. Barenghi

Quantum turbulence that exhibits vortex creation, annihilation and interactions is demonstrated as an exact solution of the time-dependent, free-particle Schr\"odinger equation evolved from a smooth random-phased initial condition. Relaxed…

Quantum Physics · Physics 2011-07-08 Tzihong Chiueh , Tak-Pong Woo , Hung-Yu Jian , Hsi-Yu Schive

Identification and extraction of vortical structures and of waves in a disorganised flow is a mayor challenge in the study of turbulence. We present a study of the spatio-temporal behavior of turbulent flows in the presence of different…

Fluid Dynamics · Physics 2015-11-09 P. Clark di Leoni , P. J. Cobelli , P. D. Mininni

3D-Particle Tracking (3D-PTV) and Phase Sensitive Constant Temperature Anemometry in pseudo-turbulence--i.e., flow solely driven by rising bubbles-- were performed to investigate bubble clustering and to obtain the mean bubble rise…

Fluid Dynamics · Physics 2012-11-14 J. Martinez , D. Chehata , D. P. M. van Gils , C. Sun , D. Lohse

We establish a statistical relationship between the inverse energy cascade and the spatial correlations of clustered vortices in two-dimensional quantum turbulence. The Kolmogorov spectrum $k^{-5/3}$ on inertial scales $r$ corresponds to a…

Statistical Mechanics · Physics 2017-06-07 Audun Skaugen , Luiza Angheluta

We perform energy spectrum analysis of the active turbulence in 3D bulk active nematic using continuum numerical modelling. Specifically, we calculate the spectra of two main energy contributions---kinetic energy and nematic elastic…

Soft Condensed Matter · Physics 2020-09-15 Žiga Krajnik , Žiga Kos , Miha Ravnik

The development and decay of a turbulent vortex tangle driven by the Gross-Pitaevskii equation is studied. Using a recently-developed accurate and robust tracking algorithm, all quantised vortices are extracted from the fields. The Vinen's…

Fluid Dynamics · Physics 2016-07-04 Alberto Villois , Davide Proment , Giorgio Krstulovic

We study a two-dimensional isotropic rotating system and obtain both theoretically and numerically a $K^{-2}$ energy spectrum under the rapidly rotating condition ($Ro\ll 1$), which was initially obtained by Zeman (1994) and Zhou (1995). In…

Fluid Dynamics · Physics 2024-08-28 Peiyang Li , Jin-Han Xie
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